Explanation

The square root of 169 is 13, since 13 multiplied by 13 (13²) equals 169.

Explanation

1 metric ton = 1000 Kg.

1 Kg = 1000 gram.

Explanation

A circle is divided into 360 equal parts, with each part measuring 1 degree.

When you combine all 360 parts, you complete a full circle, hence 360°.

Explanation

The area of a rectangle is calculated by multiplying its length by its breadth:

Area = Length × Breadth

= 16 cm × 3 cm

= 48 cm²

Explanation

30 + 39.98 = 69.98

So, the correct answer is: 69.98

Explanation

To solve the equation, follow the order of operations:

3 × 4 = 12

12 × 5 = 60

60 ÷ 5 = 12

Explanation

To divide a number by 100, you can simply move the decimal point two places to the left:

0.26 ÷ 100 = 0.0026

Explanation

A matrix is symmetric if it is equal to its transpose. That means:

$$A = A^T$$

For this 3×3 matrix:

$$A = begin{bmatrix} 5 & x & 3 \ x & 7 & 2 \ 3 & 2 & 9 \ end{bmatrix}$$

We compare element aij​ with $a_{ji}$ The (1,2) element is $x$, and the (2,1) element is also $x$, so they're already equal.
Now, look at element (1,3), which is 3, and element (3,1), which is also 3 — so they match.
Now check (2,3) = 2 and (3,2) = 2 — they also match.

So, the matrix is symmetric if and only if:

• $x=x$ (always true)

• All off-diagonal symmetric pairs match

Given that, the matrix is symmetric already, but if in the original problem the matrix looked like this:

$$begin{bmatrix} 5 & x & 3 \ 11 & 7 & 2 \ 3 & 2 & 9 \ end{bmatrix}$$

Then, to make it symmetric:

• The element at (1,2) must equal the element at (2,1)

• So: $$x=11
  

Explanation

Explanation

One nautical mile per hour is equal to 1 knot.

One nautical mile is equal to 6,076 feet (1,852 meters/kilometers).